4871888134560 has 384 divisors, whose sum is σ = 17736088043520. Its totient is φ = 1247659545600.

The previous prime is 4871888134511. The next prime is 4871888134573. The reversal of 4871888134560 is 654318881784.

It is a happy number.

4871888134560 is a `hidden beast` number, since 4 + 87 + 1 + 88 + 81 + 345 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17404669 + ... + 17682371.

It is an arithmetic number, because the mean of its divisors is an integer number (46187729280).

Almost surely, 2^{4871888134560} is an apocalyptic number.

4871888134560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4871888134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868044021760).

4871888134560 is an abundant number, since it is smaller than the sum of its proper divisors (12864199908960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4871888134560 is a wasteful number, since it uses less digits than its factorization.

4871888134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277889 (or 277875 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 4871888134560 in words is "four trillion, eight hundred seventy-one billion, eight hundred eighty-eight million, one hundred thirty-four thousand, five hundred sixty".